What is the Greatest Common Factor of 24705 and 24715?

Greatest common factor (GCF) of 24705 and 24715 is 5.

GCF(24705,24715) = 5

We will now calculate the prime factors of 24705 and 24715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24705 and 24715.

How to find the GCF of 24705 and 24715?

We will first find the prime factorization of 24705 and 24715. After we will calculate the factors of 24705 and 24715 and find the biggest common factor number .

Step-1: Prime Factorization of 24705

Prime factors of 24705 are 3, 5, 61. Prime factorization of 24705 in exponential form is:

24705 = 3⁴ × 5¹ × 61¹

Step-2: Prime Factorization of 24715

Prime factors of 24715 are 5, 4943. Prime factorization of 24715 in exponential form is:

24715 = 5¹ × 4943¹

Step-3: Factors of 24705

List of positive integer factors of 24705 that divides 24705 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 81, 135, 183, 305, 405, 549, 915, 1647, 2745, 4941, 8235

Step-4: Factors of 24715

List of positive integer factors of 24715 that divides 24705 without a remainder.

1, 5, 4943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24705 and 24715. The biggest common factor number is the GCF number.
So the greatest common factor 24705 and 24715 is 5.

Also check out the Least Common Multiple of 24705 and 24715